




"""simple docstring"""




from __future__ import annotations

from typing import Any



def        a__					(							snake_case__							)		->   int:
			if not postfix_notation:
						return 0

			lowerCamelCase      =   {"""+""", """-""", """*""", """/"""}
			lowerCamelCase      =   []

			for token in postfix_notation:
						if token in operations:
									lowerCamelCase ,  lowerCamelCase      =   stack.pop(), stack.pop()
									if token == "+":
												stack.append(a + b							)
									elif token == "-":
												stack.append(a - b							)
									elif token == "*":
												stack.append(a * b							)
									else:
												if a * b < 0 and a % b != 0:
															stack.append(a // b + 1							)
												else:
															stack.append(a // b							)
						else:
									stack.append(int(snake_case__							)							)

			return stack.pop()


if __name__ == "__main__":
					import doctest

					doctest.testmod()









"""simple docstring"""




import random



def        a__					(							snake_case__			,					snake_case__			,					snake_case__ = False							)		->   dict:
			lowerCamelCase      =   {i: [] for i in range(snake_case__							)}

			# if probability is greater or equal than 1, then generate a complete graph
			if probability >= 1:
						return complete_graph(snake_case__							)
			# if probability is lower or equal than 0, then return a graph without edges
			if probability <= 0:
						return graph

			# for each couple of nodes, add an edge from u to v
			# if the number randomly generated is greater than probability probability
			for i in range(snake_case__							):
						for j in range(i + 1			,					snake_case__							):
									if random.random() < probability:
												graph[i].append(snake_case__							)
												if not directed:
															# if the graph is undirected, add an edge in from j to i, either
															graph[j].append(snake_case__							)
			return graph



def        a__					(							snake_case__							)		->   dict:
			return {
			    i: [j for j in range(snake_case__							) if i != j] for i in range(snake_case__							)
			}


if __name__ == "__main__":
					import doctest

					doctest.testmod()



